For each equation, a possible solution is given. Check to see if the given solution is correct.

1. If $3x+7=x−1$, then does $x=−4$?

   Step 1 (a):

   Substitute the possible answer for $x$.

   $3(−4)+7=(−4)−1$

   Step 2 (a):

   If the numbers on both sides of the equation sign are the same once simplified, then the possible answer is correct.

   $−12+7=−5$
   $−5=−5$

   Answer (a):

   Yes

2. If $−2x−4=−4x+3$, then does $x=3$?

   Hint (b):

   Follow the steps in part (a).

   Answer (b):

   No

3. If $−3x+5+5x−1=0$, then does $x=2$?

   Hint (c):

   Follow the steps in part (a).

4. If $−(x−1)=4x−5−3x$, then does $x=3$?

   Hint (d):

   How does the negative in front of the parentheses change what is inside?

   More Help (d):

   Follow the steps in part (a).